Title : ( Variance Approximation of Stress-Strength Reliability Estimator in Burr XII Distribution )
Authors: Samira Nayeban , M. Khorashadizadeh , Gholam Reza Mohtashami Borzadaran ,
Full TextAbstract
One of the most fundamental issues in estimation theory about accuracy of an unbiased estimator is computing or approximating its variance. Very often, the variance has a complicated form or cannot be computed explicitly. In this paper, we find the MLE and UMVUE of stress-strength reliability measure of form R = P(Y < X), when X and Y have Burr XII distribution. Also, in this distribution, we obtain the general form of Bhattacharyya matrix and then by using Bhattacharyya lower bounds, we approximate the variance of any unbiased estimator of R.
Keywords
, Stress-Strength model, Burr XII distribution, Bhattachrayya lower bound, Cramer-Rao lower bound.
@inproceedings{paperid:1059556,
author = {Nayeban, Samira and M. Khorashadizadeh and Mohtashami Borzadaran, Gholam Reza},
title = {Variance Approximation of Stress-Strength Reliability Estimator in Burr XII Distribution},
booktitle = {سیزدهمین کنفرانس امار ایران},
year = {2016},
location = {کرمان, IRAN},
keywords = {Stress-Strength model; Burr XII distribution; Bhattachrayya lower bound; Cramer-Rao
lower bound.},
}
%0 Conference Proceedings
%T Variance Approximation of Stress-Strength Reliability Estimator in Burr XII Distribution
%A Nayeban, Samira
%A M. Khorashadizadeh
%A Mohtashami Borzadaran, Gholam Reza
%J سیزدهمین کنفرانس امار ایران
%D 2016
